# There are six different ways in which these price reductions can be composed. Find all six compositions. Which of the six compositions will grant you the best price?

The six different compositions that can be used to reduce the price of items in a department store’s end-of-year sale are:

1. 34% discount plus \$19 coupon
2. 47% discount off original price (34% + 13%)
3. 50% discount off original price (34% + 16%) with coupon
4. 63% discount off original price (34% + 29%) with coupon and opening a charge account
5. 66% discount off original price (34% + 32%) with open charge account only
6. 67 % discount off original price (34 %+ 33 %) with coupon and an open charge account

The best composition for reducing prices will depend on the customer’s individual needs, budget, or preferences. If a customer does not have time to open a charge account but wants to maximize their savings, then the most beneficial composition would be option 1: 34 percent plus \$19 coupon for maximum savings without any additional effort required from them . On the other hand if they want to save even more money and are willing to put in some extra work by opening up a charge card , then they should use either option 4 or 6 : 63 percent or 67 percent discounted respectively as these two options provide the largest discounts compared to all other compositions when taking into consideration both discounts combined together.

## There are six different ways in which these price reductions can be composed. Find all six compositions. Which of the six compositions will grant you the best price?

Lastly if they want an intermediate amount of savings while still receiving substantial benefit , then they should opt for either option 2, 3 or 5 which offer between 47 – 66 percent discounted depending on whether you choose option 2 where no coupons are involved or you factor in the addition of 16\$ dollars worth of coupons when selecting either option 3 or 5 as part of your purchase .

Overall , out of all six possibilities it is evident that using both discounts combined together provides customers will receive greatest benefits and thus it is recommended that customers consider using either option 4 & 6 if possible as this will give them maximum returns on their investments .

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